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3 years ago

If you simplified 10/15 as a fraction what would the answer be

Mathematics

1 answer:

Aliun [14]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

10/15 can be divided by 5

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

ABC have sides: 5, 7 and 10

5^2 + 7^2 = 25+47 = 72 < 10^2

so triangle ABC is obtuse

JKL has sides: 12, 35 and 37

12^2 + 35^2 = 144 + 1225 = 1369 = 37^2

so triangle JKL is right-angled

PQR has sides 12, 10 and 16

12^2 + 10^2 = 144 + 100 = 244 > 16^2

so triangle PQR is acute

5 0

3 years ago

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Write an equation to find the number. Solve. Twenty-four less than 4 times a number is equal to 30 more than -2 times the number

Amanda [17]

4x - 24 = -2x + 30

4x + 2x = 30 + 24
6x = 54
x = 9

answer: the number is 9

5 0

3 years ago

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What is 10/15 the same as

igomit [66]

If you simplify it, it would be that same as 2/3.

5 0

3 years ago

Please help asap!!! DX DX DX

Gnoma [55]

I believe the answer is C becuz i had that same answer and question so I HOPED I HELPED AND SMASH THAT THANKS BUTTON AND ADD ME AS A FRIEND

8 0

3 years ago

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